Question

solve for $j$.
$-4(8j - 12) = 4(-6 - 17j)$
$j = \square$

Explanation:

Step1: Expand both sides

$-4(8j - 12) = -32j + 48$; $4(-6 - 17j) = -24 - 68j$
Equation becomes: $-32j + 48 = -24 - 68j$

Step2: Add $68j$ to both sides

$-32j + 68j + 48 = -24$
$36j + 48 = -24$

Step3: Subtract 48 from both sides

$36j = -24 - 48$
$36j = -72$

Step4: Divide by 36

$j = \frac{-72}{36}$
$j = -2$

Answer:

$j = -2$